Setup–Resolution Pair¶
Core Idea¶
A setup–resolution pair is an ordered relation in which an initiating element opens a typed demand and a causally linked answering element discharges it, allowing the pair to function as one completed higher-order unit. The setup determines what would count as an adequate resolution. A setup creates an unresolved expectation, obligation, question, instability, or dependency; the demand remains active; the resolution is linked to that setup; and a closure test distinguishes completion from mere succession.
Broad Use¶
Narrative payoffs, jokes, request–response protocols, contracts, proofs, questions, musical cadences, and staged mechanisms preserve the open-demand–answer–closure roles.
Clarity¶
Tension-and-release concerns accumulated pressure and relief. Question–answer and promise–performance are subtypes. Narrative setup and payoff is one domain realization. Generic sequencing provides before and after without a typed demand or discharge relation.
Manages Complexity¶
The abstraction turns scattered cases into one role-based test: identify the required elements, test their relation, and reject the classification when a constitutive commitment is missing.
Abstract Reasoning¶
Use the structural signature rather than the label, then challenge the nearest counterexample. Two adjacent events are not a setup–resolution pair when the first creates no constraint on what would count as completing it.
Knowledge Transfer¶
Narrative payoffs, jokes, request–response protocols, contracts, proofs, questions, musical cadences, and staged mechanisms preserve the open-demand–answer–closure roles.
Example¶
A case qualifies only when the definition and every load-bearing role remain present. Two adjacent events are not a setup–resolution pair when the first creates no constraint on what would count as completing it.
Relationships to Other Abstractions¶
Current abstraction Setup–Resolution Pair Prime
Foundational — no parent edges in the catalog.
Children (3) — more specific cases that build on this
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Joke Domain-specific is a kind of Setup–Resolution Pair
The proposed strict upward parent is
prime:setup_resolution_pair. -
Adjacency Pair Prime is a kind of Setup–Resolution Pair
Adjacency Pair is Setup-Resolution Pair specialized by noticeable absence, preference asymmetry, and an explicit repair affordance.
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Period Structure Domain-specific is a decomposition of Setup–Resolution Pair
Period Structure is the tonal-cadential form of a weak opening demand discharged by a paired stronger answer.
Not to Be Confused With¶
Tension-and-release concerns accumulated pressure and relief. Question–answer and promise–performance are subtypes. Narrative setup and payoff is one domain realization. Generic sequencing provides before and after without a typed demand or discharge relation.